The interpolated variational iteration method for solving a class of nonlinear optimal control problems
Despite the variety of methods available to solve nonlinear optimal con-trol problems, numerical methods are still evolving to solve these problems. This paper deals with the numerical solution of nonlinear optimal control affine problems by the interpolated variational iteration method, which was in...
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| Format: | Article |
| Language: | English |
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Ferdowsi University of Mashhad
2023-06-01
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| Series: | Iranian Journal of Numerical Analysis and Optimization |
| Subjects: | |
| Online Access: | https://ijnao.um.ac.ir/article_42943_0d1798c4e672b313fee72efc80d0e4b7.pdf |
| _version_ | 1827942361423937536 |
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| author | Mohammad Shirazian |
| author_facet | Mohammad Shirazian |
| author_sort | Mohammad Shirazian |
| collection | DOAJ |
| description | Despite the variety of methods available to solve nonlinear optimal con-trol problems, numerical methods are still evolving to solve these problems. This paper deals with the numerical solution of nonlinear optimal control affine problems by the interpolated variational iteration method, which was introduced in 2016 to improve the variational iteration method. For this purpose, the optimality conditions are first derived as a two-point bound-ary value problem and then converted to an initial value problem with the unknown initial values for costates. The speed and convergence of the method are compared with the existing methods in the form of three ex-amples, and the initial values of the costates are obtained by an efficient technique in each iteration. |
| first_indexed | 2024-03-13T09:58:16Z |
| format | Article |
| id | doaj.art-073e67250749451f938bef776e1894b7 |
| institution | Directory Open Access Journal |
| issn | 2423-6977 2423-6969 |
| language | English |
| last_indexed | 2024-03-13T09:58:16Z |
| publishDate | 2023-06-01 |
| publisher | Ferdowsi University of Mashhad |
| record_format | Article |
| series | Iranian Journal of Numerical Analysis and Optimization |
| spelling | doaj.art-073e67250749451f938bef776e1894b72023-05-23T10:42:00ZengFerdowsi University of MashhadIranian Journal of Numerical Analysis and Optimization2423-69772423-69692023-06-0113222424210.22067/ijnao.2022.77393.115842943The interpolated variational iteration method for solving a class of nonlinear optimal control problemsMohammad Shirazian0Department of Mathematics, University of Neyshabur, Neyshabur, Iran.Despite the variety of methods available to solve nonlinear optimal con-trol problems, numerical methods are still evolving to solve these problems. This paper deals with the numerical solution of nonlinear optimal control affine problems by the interpolated variational iteration method, which was introduced in 2016 to improve the variational iteration method. For this purpose, the optimality conditions are first derived as a two-point bound-ary value problem and then converted to an initial value problem with the unknown initial values for costates. The speed and convergence of the method are compared with the existing methods in the form of three ex-amples, and the initial values of the costates are obtained by an efficient technique in each iteration.https://ijnao.um.ac.ir/article_42943_0d1798c4e672b313fee72efc80d0e4b7.pdfoptimal control problemsinterpolated variational iteration methodpontryagin’s maximum principle |
| spellingShingle | Mohammad Shirazian The interpolated variational iteration method for solving a class of nonlinear optimal control problems Iranian Journal of Numerical Analysis and Optimization optimal control problems interpolated variational iteration method pontryagin’s maximum principle |
| title | The interpolated variational iteration method for solving a class of nonlinear optimal control problems |
| title_full | The interpolated variational iteration method for solving a class of nonlinear optimal control problems |
| title_fullStr | The interpolated variational iteration method for solving a class of nonlinear optimal control problems |
| title_full_unstemmed | The interpolated variational iteration method for solving a class of nonlinear optimal control problems |
| title_short | The interpolated variational iteration method for solving a class of nonlinear optimal control problems |
| title_sort | interpolated variational iteration method for solving a class of nonlinear optimal control problems |
| topic | optimal control problems interpolated variational iteration method pontryagin’s maximum principle |
| url | https://ijnao.um.ac.ir/article_42943_0d1798c4e672b313fee72efc80d0e4b7.pdf |
| work_keys_str_mv | AT mohammadshirazian theinterpolatedvariationaliterationmethodforsolvingaclassofnonlinearoptimalcontrolproblems AT mohammadshirazian interpolatedvariationaliterationmethodforsolvingaclassofnonlinearoptimalcontrolproblems |